Bursting phenomenon in a piecewise mechanical system with parameter perturbation in stiffness

[1]  Hamed Moradi,et al.  Semi-active control of forced oscillations in power transmission lines via optimum tuneable vibration absorbers: With review on linear dynamic aspects , 2014 .

[2]  Balakumar Balachandran,et al.  Torsional oscillations of a rotor with continuous stator contact , 2014 .

[3]  Wei Zhang,et al.  Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications , 2014, Int. J. Bifurc. Chaos.

[4]  Shaopu Yang,et al.  Analytical research on a single degree-of-freedom semi-active oscillator with time delay , 2013 .

[5]  D. Yuan,et al.  Atomic ensemble effects on formic acid oxidation on PdAu electrode studied by first-principles calculations , 2013 .

[6]  Shaopu Yang,et al.  Nonlinear dynamical analysis and parameters optimization of four semi-active on-off dynamic vibration absorbers , 2013 .

[7]  Zhiying Qin,et al.  Nonsmooth and Smooth bifurcations in a Discontinuous Piecewise Map , 2012, Int. J. Bifurc. Chaos.

[8]  Qinsheng Bi,et al.  Bursting oscillation in CO oxidation with small excitation and the enveloping slow-fast analysis method , 2012 .

[9]  A. Luo.  Singularity and Dynamics on Discontinuous Vector Fields , 2012 .

[10]  Jichen Yang,et al.  Border-collision bifurcations in a generalized piecewise linear-power map , 2011 .

[11]  The analysis of the spectrum of Lyapunov exponents in a two-degree-of-freedom vibro-impact system , 2011 .

[12]  Qinsheng Bi.  The mechanism of bursting phenomena in Belousov-Zhabotinsky (BZ) chemical reaction with multiple time scales , 2010 .

[13]  Shaopu Yang,et al.  Recent advances in dynamics and control of hysteretic nonlinear systems , 2009 .

[14]  Zhuoqin Yang,et al.  Dynamics and transitions of firing patterns in deterministic and stochastic neuronal systems , 2009 .

[15]  Jianhua Xie,et al.  Periodic motions and bifurcations of a vibro-impact system , 2008 .

[16]  B. Brogliato,et al.  Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics , 2008 .

[17]  John H G Macdonald,et al.  Two-degree-of-freedom inclined cable galloping—Part 1: General formulation and solution for perfectly tuned system , 2008 .

[18]  Shaopu Yang,et al.  Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method , 2006 .

[19]  Stefano Lenci,et al.  Response Scenario and Nonsmooth Features in the Nonlinear Dynamics of an Impacting Inverted Pendulum , 2006 .

[20]  H. Nijmeijer,et al.  Dynamics and Bifurcations ofNon - Smooth Mechanical Systems , 2006 .

[21]  P. Lestriez,et al.  Numerical prediction of discontinuous central bursting in axisymmetric forward extrusion by continuum damage mechanics , 2004 .

[22]  S. Bishop,et al.  Piecewise analysis of oblique vibro-impacting systems , 2003 .

[23]  Claude-Henri Lamarque,et al.  Bifurcation and Chaos in Nonsmooth Mechanical Systems , 2003 .

[24]  J. Awrejcewicz,et al.  Homogenization of a waffle membrane , 2003 .

[25]  Erik Mosekilde,et al.  Bifurcations and chaos in piecewise-smooth dynamical systems , 2003 .

[26]  Leszek Demkowicz,et al.  Dynamic contact/impact problems, energy conservation, and planetary gear trains , 2002 .

[27]  Stephanos Theodossiades,et al.  Periodic and chaotic dynamics of motor-driven gear-pair systems with backlash , 2001 .

[28]  Jianhua Xie,et al.  Bifurcations and chaos in a system with impacts , 2001 .

[29]  N. Rulkov.  Regularization of synchronized chaotic bursts. , 2000, Physical review letters.

[30]  S. Theodossiades,et al.  NON-LINEAR DYNAMICS OF GEAR-PAIR SYSTEMS WITH PERIODIC STIFFNESS AND BACKLASH , 2000 .

[31]  Stephanos Theodossiades,et al.  Dynamic analysis of piecewise linear oscillators with time periodic coefficients , 2000 .

[32]  M. Ahmadian.  On the Isolation Properties of Semiactive Dampers , 1999 .

[33]  Jin Dongping,et al.  Periodic vibro-impacts and their stability of a dual component system , 1997 .

[34]  P. Velex,et al.  Some Numerical Methods for the Simulation of Geared Transmission Dynamic Behavior Formulation and Assessment , 1997 .

[35]  Chandramouli Padmanabhan,et al.  Analysis of periodically forced nonlinear Hill’s oscillator with application to a geared system , 1996 .

[36]  Steven R. Bishop,et al.  Characterisation of the dynamics of a four-dimensional stick-slip system by a scalar variable , 1995 .

[37]  A. Kahraman,et al.  Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity , 1995 .

[38]  Rajendra Singh,et al.  Analysis of periodically excited non-linear systems by a parametric continuation technique , 1995 .

[39]  S. Yamamoto,et al.  Bifurcation sets and chaotic states of a gear system subjected to harmonic excitation , 1991 .

[40]  Rajendra Singh,et al.  Non-linear dynamics of a geared rotor-bearing system with multiple clearances , 1991 .

[41]  Rajendra Singh,et al.  Non-linear dynamics of a spur gear pair , 1990 .

[42]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[43]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.